The correct answer to this open question is the following.
Unfortunately, you forgot to attach the "lecture-discussion material."
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However, trying to help you with some ideas, we can answer in general terms based on our knowledge.
The proposed benefit/advantage of adopting the Social Contract theory is that citizens would get the protection of the government. For that to happen, citizens have to resign to some liberties in order to facilitate the process of the government rules and regulations through the creation of laws.
The Social Contract concept refers to the authority of the state over the individual. Developed in the Enlightenment years by prominent thinkers such as Thomas Hobbes and John Locke, the Social Contract implies a semi-submissive attitude by the citizens to give up some freedom in order to be protected by the state, and obey the laws and regulations of that state.